Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study

Abstract

We study a generalized Kane-Mele-Hubbard model with third-neighbor hopping, an interacting two-dimensional model with a topological phase transition as a function of third-neighbor hopping, by means of the determinant projector Quantum Monte Carlo (QMC) method. This technique is essentially numerically exact on models without a fermion sign problem, such as the one we consider. We determine the interaction-dependence of the Z2 topological insulator/trivial insulator phase boundary by calculating the Z2 invariants directly from the single-particle Green's function. The interactions push the phase boundary to larger values of third-neighbor hopping, thus stabilizing the topological phase. The observation of boundary shifting entirely stems from quantum °uctuations. We also identify qualitative features of the single-particle Green's function which are computationally useful in numerical searches for topological phase transitions without the need to compute the full topological invariant.

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• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Renormalization group flows for Wilson-Hubbard matter and the topological Hamiltonian
• Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
• Disorder effects in correlated topological insulators
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• Short-ranged interaction effects on $Z_2$ topological phase transitions
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model
• Short-ranged interaction effects on $Z_2$ topological phase transitions: The perturbative mean-field method